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cs.SC2022
Exact SOHS decompositions of trigonometric univariate polynomials with Gaussian coefficients
Victor Magron, Mohab Safey El Din, Markus Schweighofer +1
Certifying the positivity of trigonometric polynomials is of first importance for design problems in discrete-time signal processing. It is well known from the Riesz-Fejéz spectral…
cs.SC2017
Algorithms for Weighted Sums of Squares Decomposition of Non-negative Univariate Polynomials
Victor Magron, Mohab Safey El Din, Markus Schweighofer
It is well-known that every non-negative univariate real polynomial can be written as the sum of two polynomial squares with real coefficients. When one allows a weighted sum of fi…